High-Order Dispersive Cubic-Quintic Schrödinger Equation and Its Exact Solutions

Abstract

The light pulses propagation in optical fibers modeled by the dispersive cubic-quintic Schrödinger equation including high-order time derivatives is investigated in detail. For this purpose, the exp a-function scheme is utilized along with a symbolic computation system to gain the exact solutions of the model. As an outcome, a wide range of exact solutions including dark and periodic solitary wave solutions are effectively derived, verifying the excellent performance of the scheme.

Dynamical solutions and quadratic resonance of nonlinear perturbed Schrödinger equation

“…and a = 2 by Hosseini et al [37]. Dark solitons are seen in the simple dispersion region, while bright solitons are observed in the anomalous dispersion region [31].…”

The classification of single traveling wave solutions for the fractional coupled nonlinear Schrödinger equation

“…However, due to the complexity of NLEEs, giving all the exact solutions of a NLEE with a unified technique seems to be impossible. Over the decades, a lot of efficient methods have been established and developed to fabricate exact solutions through the efforts of many mathematicians, such as the extended simplest equation method [1], the Riccati sub equation method [2], the Jacobi elliptic function method [3,4], Painlevé analysis [5][6][7][8][9], exp a -function method [10], Lax pairs [11], Bäcklund transformation [12], etc.…”